180 minus 90 equals 90, divided by 2, the answer is 45 degrees
Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional
He made 12*40=480 dollars in total. 0.0765*480=36.72 dollars were withheld.
Answer: 24 cups.
Step-by-step explanation:
Let be "x" the amount of cups of peaches that Fred will need to make 60 cups of fruit salad.
According to the information given in the exercise, you know that the ratio of cups of peaches to cups of cherries is the one shown below:

Which can also be written as a fraction:

Then, if he uses 2 cups of peaches and 3 cups of cherries, he will get 5 cups of fruit salad.
Knowing the above, you can set up the following proportion:

Now you must solve for "x" in order to find its value. This is:

Answer:
D) 50ft
Step-by-step explanation:
(18×x) + (32×18) + [(48-18-18)×(32-11)]
= 1728
18x + 576 + (12×21) = 1728
18x = 1728 - 828
18x = 900
x = 50